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arXiv · 1802.06667

The infinite two-sided loop-erased random walk

Gregory F. Lawler
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Abstract

The loop-erased random walk (LERW) in $ \Z^d, d \geq 2$, is obtained by erasing loops chronologically from simple random walk. In this paper we show the existence of the two-sided LERW which can be considered as the distribution of the LERW as seen by a point in the "middle" of the path.

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Gregory F. Lawler. 2018-02-19. The infinite two-sided loop-erased random walk. https://arxiv.org/abs/1802.06667

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